Abstract:In this paper, we investigate the boundedness properties of the Dunkl-type Hausdorff operator on Dunkl-type Morrey spaces and Dunkl-type Campanato spaces. Furthermore, we introduce the fractional Dunkl-type Hausdorff operator and study its boundedness from $L^p(\mathbb{R}, d\mu_\alpha)$ to $L^q(\mathbb{R}, d\mu_\alpha)$. We also establish the boundedness of the fractional Dunkl-type Hausdorff operator on Dunkl-type Morrey spaces under suitable conditions.
From: Sumit Parashar [view email]
[v1]
Mon, 15 Jun 2026 04:11:47 UTC (28 KB)
此内容由惯性聚合(RSS阅读器)自动聚合整理，仅供阅读参考。 原文来自 — 版权归原作者所有。